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The ratio of Greta's jellybeans to Devin's jellybeans was 5:2. After Greta ate 36 jellybeans, the ratio became 1:2. How many jellybeans did Greta have at first?

 Jul 16, 2021
 #1
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+1

G  /  D  = 5/2

G  =  (5/2)D

 

(G - 36)   / D  =  1/2

 

(5/2 D  - 36)   / D  = 1/2         cross-multiply

 

2 ( 5/2 D  - 36)   =  D

 

5D  -  72    =   D

 

5D  - D  =   72

 

4D  = 72

 

D =  72 / 4    =    18

 

G  = (5/2) D   =  (5/2)(18)   =   45

 

 

cool cool cool  

 Jul 16, 2021

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